GCF of 5906/744, 2172/5216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5906/744, 2172/5216 i.e 2/485088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5906/744, 2172/5216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5906/744,2172/5216?
Given fractions are 5906/744,2172/5216
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5906/744,2172/5216, numerators are 5906,2172
Denominators are 744,5216
The GCF of 5906,2172 is 2 .
LCM of 744,5216 is 485088.
The greatest common factor of 5906/744,2172/5216 = [GCF of 5906,2172]/[LCM of 744,5216]= 2/485088
Therefore, the GCF of 5906/744,2172/5216 is 2/485088.
To find the highest common factor of 5906,2172, we have to find the factors of both numbers and list the highest common factor.
The factors of 5906 are 1, 2, 2953, 5906
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The HCF of 5906,2172 is 2.
Lets's calculate GCF of 5906,2172
| 2 | 5906, 2172 |
| 2953, 1086 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5906,2172 By Matching Biggest Common Factor Method
Now, list down the factors of 5906
:1,2,2953,5906
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Greatest Common Factor
We found the factors 5906,2172 . The biggest common factor number is the GCF number.
So the greatest common factor 5906,2172 is 2.
Lets's calculate LCM of 744,5216
| 2 | 744, 5216 |
| 2 | 372, 2608 |
| 2 | 186, 1304 |
| 93, 652 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 652 = 485088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/485088
Therefore, the GCF of Fractions 5906/744,2172/5216 is 2/485088
Least Common Multiple of 744,5216 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 744,5216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,5216) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(744,5216) x common factors =8 x 1 = 8
LCM(744,5216) = ( 744 × 5216 ) / 8
LCM(744,5216) = 3880704 / 8
LCM(744,5216) = 485088
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FAQs on GCF of Fractions of 5906/744, 2172/5216
1. What is the HCF of 5906,2172?
The HCF of 5906,2172 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5906/744, 2172/5216?
Answer: GCF of Numerators as per given numbers 5906/744, 2172/5216 is
GCF of Numerators i.e. for 5906,2172 is 2
LCM of denominators i.e. for 744,5216 is 485088.
Thus, GCF of Fractions is 2/485088.Finally, GCF of Fractions for 5906/744, 2172/5216 is 2/485088.